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Finding the Fourth Proportional to 99,800.78, 149,656.05 and 28,707.08

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Solution

The fourth proportional to 99,800.78, 149,656.05 and 28,707.08 is: 43,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,800.78 : 149,656.05 = 28,707.08 : x
  2. Step 2: Convert to fraction form
    99,800.78/149,656.05 = 28,707.08/x
  3. Step 3: Cross multiply
    99,800.78x = 149,656.05 × 28,707.08
  4. Step 4: Simplify right side
    99,800.78x = 4,296,188,573.97
  5. Step 5: Solve for x
    x = 4,296,188,573.97/99,800.78
  6. Step 6: Final answer
    x = 43,047.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.